AP® Physics C: E & M

$Q_{enc}$ Sphere 5

APPHEM-KRX4SY

The diagram shows a sphere of radius $R$ that carries a charge density that is not uniform. The charge density varies according to radial distance $R$ from the center of the sphere according to the equation $\rho = \dfrac{C}{r}$.

The diagram also shows the cross-section of a Gaussian sphere of radius $a$ that is concentric with the charged sphere.

Which of the following expresses the charge enclosed in the Gaussian sphere?